Search entity transition matrix and applications of the transition matrix

ABSTRACT

Methods, systems, and apparatus, including computer programs encoded on computer storage media, for using search entity transition probabilities. In some implementations, data identifying entities and transition probabilities between entities is stored in a computer readable medium. Each transition probability represents a strength of a relationship between a pair of entities as they are related in search history data. In some implementations, an increase in popularity for a query is identified and a different query is identified as temporally related to the query. Scoring data for documents responsive to the different query is modified to favor newer documents. In other implementations, data identifying a first session as spam is received, and a spam score is calculated for either a second session of queries or a single query using transition probabilities. The second session (or single query) is identified as spam from the spam score.

BACKGROUND

This specification relates to identifying and using relationshipsbetween search entities.

Internet search engines provide information about Internet accessibledocuments (e.g., Web pages, images, text documents, multimedia content)that are responsive to a user's search query and present informationabout the resources in a manner that is useful to the user. Internetsearch engines return a set of search results (e.g., as a ranked list ofresults) in response to a user submitted query. A search resultincludes, for example, a Uniform Resource Locator (URL) and a snippet ofinformation from a corresponding document.

Each time a user submits a search query and receives results, severalsearch entities are typically involved, including, for example, thequery the user submits, documents that are responsive to the query, thesearch session during which the user submits the query, the time atwhich the query is submitted, and advertisements presented in responseto the query.

SUMMARY

This specification describes technologies relating to relationshipsbetween search entities.

In general, one aspect of the subject matter described in thisspecification can be embodied an article of manufacture, including acomputer readable medium and information stored in the computer readablemedium including data identifying entities, where the entities includeentities having a type of a query, entities having a type of a documentresponsive to queries, and entities having a type of: a session ofqueries, a time at which a query is submitted, an anchor in a document,or a domain associated with a document. The information stored in thecomputer readable medium further includes transition probabilities forfirst pairs of entities, where each transition probability represents astrength of a relationship between a first pair of entities having typesof query and document as they are related in search history data. Theinformation further includes transition probabilities for second pairsof entities, where each transition probability represents a strength ofa relationship between a second pair of entities having types ofdocument and a type other than query as they are related in the searchhistory data.

This and other embodiments can each optionally include one or more ofthe following features. The transition probability from a query to adocument can be based on a quality of result score for the document as asearch result for the query and quality of results scores for documentsin search history data as search results for the query. The transitionprobability from a document to a query can be based on a quality ofresult score for the document as a search result for the query andquality of results scores for the document as a search result forqueries in search history data. The transition probability from a firstdocument to a first session can be based on the number of documentsviewed during the first session, and the transition probability from asecond session to a second document can be based on a number of sessionswhere the second document was viewed.

The article of manufacture can further include transition probabilitiesbetween anchors and documents, where the transition probability betweenan anchor and a document represents a strength of a relationship betweenthe anchor and the document, and the strength of the relationship isdetermined based on whether the anchor is included in the document. Thearticle of manufacture can further include transition probabilitiesbetween anchors and documents, where the transition probability betweenan anchor and a document represents a strength of a relationship betweenthe anchor and the document, and the strength of the relationship isdetermined based on whether the anchor links to the document.

In general, another aspect of the subject matter described in thisspecification can be embodied in methods that include the actions ofidentifying an increase in popularity for a first query. A differentsecond query can be identified as temporally related to the first queryusing transition probabilities from the first query to a time of yearand transition probabilities from the time of year to the second query,where the transition probability from the first query to the time ofyear estimates a strength of a relationship between the first query andthe time of year based on whether the first query had an increase inpopularity at the time of year and how often the first query had anincrease in popularity. Scoring data for one or more documentsresponsive to the second query can be modified to favor newer documentsresponsive to the first query. Other embodiments of this aspect includecorresponding systems, apparatus, and computer programs recorded oncomputer storage devices, each configured to perform the operations ofthe methods.

These and other embodiments can each optionally include one or more ofthe following features.

The transition probability from the time of year to the second query canestimate a strength of a relationship between the time of year and thesecond query based on whether the second query had an increase inpopularity at the time of year and how many other queries had anincrease in popularity at the time of year. Modifying the scoring datato favor newer documents can include discounting an anchor score in thescoring data. The anchor score can be for the first document and canmeasure anchors to the first document. Modifying the scoring data tofavor newer documents can include discounting a historical quality ofresult score in the scoring data, where the historical quality of resultscore is for the query and a document.

In general, another aspect of the subject matter described in thisspecification can be embodied in methods that include the actions ofreceiving data identifying a first session of queries as spam. A spamscore is computed for a second session of queries using transitionprobabilities from the first session to one or more documents andtransition probabilities from each of the one or more documents to thesecond session, where the respective transition probability from thefirst session to a respective document is an estimate of a strength ofrelationship between the first session and the respective document basedon a number of sessions where the document was viewed. The secondsession is determined to be spam based on the invalidity spam score.Other embodiments of this aspect include corresponding systems,apparatus, and computer programs recorded on computer storage devices,each configured to perform the operations of the methods.

These and other embodiments can each optionally include one or more ofthe following features. The method can further include discounting aweight given to data for the second session in search history data whenthe data is used to generate a score estimating how responsive adocument is to a query. The transition probability between a documentand the second session can be based on the number of documents viewedduring the second session.

In general, another aspect of the subject matter described in thisspecification can be embodied in methods that include the actions ofreceiving data identifying a first session as spam. A spam score iscomputed for a first query using a transition probability from the firstsession to the first query, where the transition probability from thefirst session to the first query is an estimate of a strength of arelationship between the first session and the first query based on thenumber of queries submitted in the first session. The first query isdetermined to be spam from the invalidity spam score. Other embodimentsof this aspect include corresponding systems, apparatus, and computerprograms recorded on computer storage devices, each configured toperform the operations of the methods.

These and other embodiments can each optionally include one or more ofthe following features. The method can further include updating anestimate of invalid spam queries in a population of queries to includedata for the first query. The method can further include computing aspam score for a second session using a transition probability from thefirst query to the second session, and identifying the second session asinvalid spam from the spam score. The method can further includeobtaining search history data including an initial quality of resultsstatistic for a document as a search result for the first query,generating a modified quality of result statistic for the document as asearch result for the first query from the initial quality of resultstatistic and the invalidity spam score for the first query, andupdating the search history data to include the modified quality ofresults statistic in place of the initial quality of result statistic.Generating the modified quality of results statistic can include scalingthe initial quality of results statistic by a factor, where the factoris calculated by subtracting the invalidity spam score from a constant.

Particular embodiments of the subject matter described in thisspecification can be implemented so as to realize one or more of thefollowing advantages. Relationships between various search entities,including queries, documents, domains, sessions, advertisements, andtime can be identified. The strength of relationships can be measuredusing a metric obtained from direct relationship strengths (derived fromdata indicating user behavior, such as user search history data) andindirect relationship strengths (derived from the direct relationshipstrengths). The relationships can be used in a variety of ways. Forexample, the relationships can be used to propagate a property of oneentity to other related entities. A relationship between a first entitythat has insufficient support (e.g., not enough search history data) toassociate a given property with the first entity and a second entitythat does have sufficient support to associate the given property withthe second entity can be identified, and the given property can beassociated with the first entity with higher confidence. Therelationships can be used to provide a query suggestion feature to auser, where queries related to queries submitted by a user areidentified. The relationships can be used to more accurately rank searchresults responsive to a query. The relationships can be used to providea vertical search feature, where documents related to a group ofdocuments are identified. The vertical search feature can be used toaugment a set of search results responsive to a query with additionaldocuments related to the top-ranked documents that are responsive to thequery. Scoring of long-tail documents (e.g., documents for which thereis little search history and other scoring data that can be used toscore the documents) can be improved by scoring documents based onanchors, text, queries, and other signals associated with relateddocuments. Domains can be classified based on queries associated withdocuments in the domain, and similar domains can be clustered. Queriescan be related based on times when they have an increase in popularity.Queries that are about to become popular can be identified, and freshresults can be favored for these queries. Queries and sessions can beidentified as spam from a session known to be spam. The impact that spamsessions and spam queries have on scoring can be reduced.

The details of one or more embodiments of the subject matter describedin this specification are set forth in the accompanying drawings and thedescription below. Other features, aspects, and advantages of theinvention will become apparent from the description, the drawings, andthe claims.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a graph showing an example of transition probabilities betweensearch entities.

FIG. 2 illustrates an example search system for providing search resultsresponsive to submitted queries.

FIG. 3 illustrates an example representation of search history data.

FIG. 4 illustrates an example transition matrix generated fromtransition probabilities between entities.

FIG. 5 is a graph illustrating transition probabilities between queriesand documents.

FIG. 6 illustrates an example method for identifying an expanded groupof documents relevant to a topic from an initial group of documentsrelevant to the topic.

FIG. 7 illustrates an example method for augmenting a group of documentsresponsive to a query with documents related to the top ranked documentin the group of documents.

FIG. 8 illustrates an example architecture of a system that performs themethods illustrated in FIGS. 6 and 7.

FIG. 9 illustrates an example method for scoring a first documentrelevant to a query based on anchors from a second document that isrelated to the first document.

FIG. 10 illustrates an example architecture of a system that performsthe method illustrated in FIG. 9.

FIG. 11 is a graph illustrating transition probabilities between domainsand documents and transition probabilities between documents andqueries.

FIG. 12 illustrates an example method for classifying a domain based onqueries related to the domain.

FIG. 13 illustrates an example architecture of a system that performsthe method illustrated in FIG. 12.

FIG. 14 is a graph illustrating example transition probabilities betweenqueries and times when the queries had an increase in popularity.

FIG. 15 illustrates an example method for temporal boosting of searchresults responsive to queries.

FIG. 16 illustrates an example architecture of a system that performsthe method illustrated in FIG. 15.

FIG. 17 is a graph illustrating example transition probabilities betweensessions and documents.

FIG. 18 illustrates an example method for identifying a second spamsession from a first spam session.

FIG. 19 is a graph illustrating example transition probabilities betweensessions and queries.

FIG. 20 illustrates an example method for identifying an spam query froman spam session.

FIG. 21 illustrates an example illustrates an example architecture of asystem that performs the methods illustrated in FIG. 18 and FIG. 20.

Like reference numbers and designations in the various drawings indicatelike elements.

DETAILED DESCRIPTION

FIG. 1 is a graph 100 showing an example of transition probabilitiesbetween search entities. The nodes of the graph correspond to searchentities, and the weighted edges between the nodes correspond totransition probabilities. Generally speaking, search entities areelements of a user's search experience. Examples of entities includequeries of a corpus of documents (e.g., query A 102), documents in thecorpus of documents (e.g., document A, 104), domains of documents (e.g.,domain A 106) sessions of queries (e.g., session A 108), advertisements(e.g., advertisement A 110), and the time a query is submitted (e.g.,time A 112). Examples of time include a specific period of minutes, aspecific hour, a specific day, a specific month, a specific quarter, ora specific year. Other entities are also possible, for example, anchorsin documents, or users.

The transition probabilities shown in FIG. 1 are first order transitionprobabilities that estimate a strength of relationship between a firstentity and a second entity in the graph based, for example, on one ormore of search history data and relationships between the entitiesoutside of the search history data. Additional, higher order transitionprobabilities can be derived from the first order transitionprobabilities. Together, these first order and higher order transitionprobabilities can be used to determine an overall strength of arelationship between entities according to a Markov chain model. Ingeneral, a Markov chain is a model for evaluating a system where thelikelihood of a given future state of the system depends only on thepresent state of the system and not past states of the system. Here, theentities are the states of the system, and the likelihood of a givenfuture state measures a strength of a relationship between two entities.

A system, such as a search system or another system, can use differentheuristics to calculate first order transition probabilities betweendifferent types of entities from different types of data, as describedbelow. Once these first order transition probabilities are determined,they can be used to generate higher order transition probabilitiesthrough a series of multiplications.

FIG. 2 illustrates an example search system 214 for providing searchresults relevant to submitted queries as can be implemented in aninternet, an intranet, or another client and server environment. Thesearch system 214 is an example of an information retrieval system thatcan be used to generate search history data used to calculate firstorder transition probabilities.

A user 202 can interact with the search system 214 through a clientdevice 204. For example, the client device 204 can be a computer (e.g.,a personal computer, a mobile phone, etc.) coupled to the search system214 through a wired or wireless local area network (LAN) or wide areanetwork (WAN), e.g., the Internet. In some implementations, the searchsystem 214 and the client device 204 are one machine. For example, auser can install a desktop search application on the client device 204.The client device 204 will generally include a random access memory(RAM) 206 and a processor 208.

A user 202 can submit a query 210 to a search engine 230 within a searchsystem 214. When the user 202 submits a query 210, the query 210 istransmitted through a network to the search system 214. The searchsystem 214 can be implemented as, for example, computer programs runningon one or more computers in one or more locations that are coupled toeach other through a network. The search system 214 includes an indexdatabase 222 and a search engine 220. The search system 214 responds tothe query 210 by generating search results 228, which are transmittedthrough the network to the client device 204 in a form that can bepresented to the user 202 (e.g., as a search results web page to bedisplayed in a web browser running on the client device 204).

When the query 210 is received by the search engine 230, the searchengine 230 identifies documents that match the query 210. The searchengine 230 will generally include an indexing engine 220 that indexesdocuments (e.g., web pages, images, multimedia content, or news articleson the Internet) found in a corpus (e.g., a collection or repository ofcontent), an index database 222 that stores the index information, and aranking engine 252 (or other software) to rank the documents that matchthe query 210. The indexing and ranking of the documents can beperformed, for example, using conventional techniques. The search engine230 can transmit the search results 228 through the network to theclient device 204 for presentation to the user 202.

FIG. 3 illustrates an example representation of search history data 300.The search history data is collected as a user interacts with a searchengine by submitting one or more queries (e.g., query B 302), clicking(e.g., selecting with a mouse or other input device, including an inputdevice accepting touch, voice, or gesture input), on one or more searchresults corresponding to documents (e.g., documents D, E, and F)presented on a search results page by the search engine in response tothe query, viewing the documents, and returning to the search resultspage. The search history data can include the time a query is submitted(e.g., time B), what documents a user clicked on, and how long the userdwelled on the documents (e.g., entry 310). How long the user viewed thedocument is referred to as “click data”. For example, a longer timespent dwelling on a document, termed a “long click”, can indicate that auser found the document to be relevant to the query. A brief periodviewing a document, termed a “short click”, can be interpreted as a lackof document relevance. While the search history data shown in FIG. 3 isfor a single user, a search history can include data for multiple users.

The search history can be divided into segments corresponding todifferent sessions (e.g., Session A 304 and Session B 306). In general,a session is a period during which a user submits queries. A session canbe measured in a number of ways including, for example, by a specifiedperiod of time (for example, thirty minutes), by a specified number ofqueries (for example, fifteen queries), until a specified period ofinactivity (for example, ten minutes without submitting a query), whilea user is logged-in to a system, or while a user submits queries thatrelate to similar topics.

The search history data includes information about various searchentities. For example, the data 308 indicates that during Session A andat Time A, Query A was issued, and the user viewed Document A for 12.3seconds, Document B for 14.5 seconds, and Document C for 2.0 seconds.

In some implementations, the search history data is stored in anaggregated format. For example, the search history data can includeaggregated click data such as a count of each click type (e.g., long,short) for a particular query and document combination.

Returning to FIG. 1, the system can calculate various first ordertransition probabilities from the search history data. In general, thesystem uses an entity type specific transfer function (P_(tran)) tocalculate the transition probability between two entities. For example,the system can calculate a document-to-query transition probability fromthe search history data. In general, a document-to-query transitionprobability estimates a strength of a relationship between a documentand a query based on how likely users viewing the document are to findthe document to be a responsive search result for the query. Forexample, the system can calculate a document-to-query transitionprobability, such as the transition from document B 114 to query B 116by dividing a quality of result statistic for document B 114 and query B116 by the sum of quality of result statistics for document B 114 andall of the queries in the search history data, e.g.:

${{P_{tran}\left( {d_{B},q_{B}} \right)} = \frac{{qor}\left( {d_{B},q_{B}} \right)}{\sum\limits_{q_{i} \in S_{q}}{{qor}\left( {d_{B},q_{i}} \right)}}},$

where P_(tran)(d_(B), q_(B)) is the transition probability from documentB 120 to query B 118, qor(d, q) is the quality of result statistic fordocument d and query q, and S_(q) is the set of queries in the searchhistory data.

In general, the quality of result statistic estimates how responsiveusers found a given document to be as a search result for a given query.In some implementations, the system generates the quality of resultstatistic for a given document as a search result for a given query fromthe click data for the document and the query in the search historydata. For example, a quality of result statistic can be a weighted sumof the count of long clicks for a given document when it is presented inresponse to a given query (where each click is weighted by the timespent viewing the document) divided by the total number of clicks forthe document when it is presented in response to the query or divided bythe total number of clicks for all documents responsive to the querywhen they are presented in response to the query, a weighted sum of allof the clicks for a document when it is presented in response to a query(where each click is weighted by the time spent viewing the document)divided by the total number of clicks for all documents responsive tothe query when they are presented in response to the query, or a sum ofall of the clicks for the document when it is presented in response tothe query divided by the total number of clicks for all documentsresponsive to the query when they are presented in response to thequery. The system can also generate other quality of results statistics;for example, the quality of result statistic can be generated from clickdata for the document, the query, and queries similar to the query. Twoqueries can be similar when they differ only in small differences inspelling, small differences in word order, the use of abbreviations, theuse of synonyms, or the use of stop words (e.g., known terms that do notcontribute to the topicality of the query such as “a” or “the”). Othercommon measures of similarity can also be used, for example, the editdistance for the two queries.

In some implementations, the system makes various modifications to thetransfer function described above and the transfer functions describedbelow. For example, in some implementations, the system smooths the databy adding smoothing factors to the numerator and denominator of theequation, e.g.:

${{P_{tran}\left( {d_{B},q_{B}} \right)} = \frac{{{qor}\left( {d_{B},q_{B}} \right)} + s}{\left( {\sum\limits_{q_{i} \in S_{q}}{{qor}\left( {d_{B},q_{i}} \right)}} \right) + S}},$

where s and S are smoothing factors (e.g., positive integers) that aredetermined, for example, empirically.

As another example, in some implementations, the system adds an exponentto the numerator and to the denominator, for example, to massage thedata, essentially increasing or decreasing the impact of popularity whenthe direct transition probabilities are used to generate indirecttransition probabilities. The exponents allow or disallow the emergenceof clusters of entities. In general, a cluster occurs when a subset ofentities have high transition probabilities to each other. The exponentscan either decrease the impact of weak relationships (and thus promoteclustering) or increase the impact of weak relationships (and thusresult in less clustering). For example, P_(tran) can be calculated as:

${{P_{tran}\left( {d_{B},q_{B}} \right)} = \frac{\left( {{qor}\left( {d_{B},q_{B}} \right)} \right)^{k}}{\left( {\sum\limits_{q_{i} \in S_{q}}{{qor}\left( {d_{B},q_{i}} \right)}} \right)^{m}}},$

where k and m are empirically determined and can be the same, ordifferent, numbers.

As yet another example, in some implementations, the system uses anequalitarian version of the transfer function to prevent more popularentities (e.g., common queries) from overtaking less popular queries(e.g., less common queries). Less popular entities can be overtaken bymore popular entities, for example, when the more popular queries have astrong cluster of related entities that can overpower other weakrelationships of the less popular entity. For example, the system canuse a transfer function like the following:

${{P_{tran}\left( {d_{B},q_{B}} \right)} = \frac{{qor}\left( {d_{B},q_{B}} \right)}{\sum\limits_{q_{i} \in S_{q}}{{step}\left( {{qor}\left( {d_{B},q_{i}} \right)} \right)}}},$

where step(x) is a step function having a value, for example, of 0 ifx<=0 and 1 otherwise, and P_(tran)(d_(B), q_(B)) is 0 if qor(d_(B),q_(B)) is 0.

Other modifications to the transfer function are also possible.

The system can calculate a query-to-document transition probability fromthe search history data. In general, a query-to-document transitionprobability estimates a strength of a relationship between a query and adocument based on how likely users issuing the query are to find thedocument to be a responsive search result for the query. In someimplementations, a query-to-document transition probability, such as thetransition from query B 116 to document B 114, is calculated by dividinga quality of result statistic for document B 114 and query B 116 by thesum of quality of result statistics for query B and all documents in thesearch history data, e.g.:

${{P_{tran}\left( {q_{B},d_{B}} \right)} = \frac{{qor}\left( {d_{B},q_{B}} \right)}{\sum\limits_{d_{i} \in S_{d}}{{qor}\left( {d_{i},q_{B}} \right)}}},$

where P_(tran)(q_(B), d_(B)) is the transition probability from query B116 to document B 114, qor(d, q) is the quality of result statistic fordocument d and query q, and S_(d) is the set of documents in the scoringmodel. Other ways of determining the query-to-document transitionprobability are also possible.

In some implementations, the system only includes quality of resultstatistics above a certain threshold in the probability calculation. Thethreshold can be determined, for example, empirically.

The system can calculate a document-to-session transition probabilityfrom the search history data. In general, a document-to-sessiontransition probability estimates a strength of a relationship between adocument and a session based on whether the document is viewed duringthe session, and optionally how many documents are viewed during thesession. In some implementations, the system calculates adocument-to-session transition probability, for example, betweendocument A 104 and session B 118, by analyzing whether document A 104was clicked on during session B 118. If not, the document-to-sessionprobability is 0. If document A 104 was clicked on, the system cancalculate the document-to-session probability by dividing 1 by thenumber of documents that were clicked on during the session B 112, e.g.:

${{P_{tran}\left( {d_{A},s_{B}} \right)} = \frac{{inSession}\left( {d_{A},s_{B}} \right)}{\sum\limits_{d_{i} \in S_{d}}{{inSession}\left( {d_{i},s_{B}} \right)}}},$

where P_(tran)(d_(A), s_(B)) is the transition probability from documentA 104 to session B 118, in Session(d, s) has a value of 1 if document dwas clicked on in session s, and otherwise is 0, and S_(d) is the set ofdocuments in the search history data. In further implementations, inSession(d, s) has a value of 1 if the document had a long-click insession s, and otherwise has a value of 0. Other methods of calculatinga document-to-session transition probability can be used. For example,the transition probability can be 1 if the document was clicked onduring the session, and 0 otherwise.

The system can similarly calculate a session-to-document transitionprobability from the search history data. In general, asession-to-document transition probability estimates a strength of arelationship between a session and a document based on whether thedocument is viewed during the session, and optionally how many sessionsthe document is viewed in. For example, the a document-to-sessiontransition probability, such as the session-to-document transitionprobability between session B 118 and document A 104 is 0 if the searchhistory data indicates that document A 104 was not clicked on duringsession B 118, and otherwise is 1 divided by the number of the sessionswhere document A 104 was viewed, e.g.:

${{P_{tran}\left( {s_{B},d_{A}} \right)} = \frac{{inSession}\left( {d_{A},s_{B}} \right)}{\sum\limits_{s_{i} \in S_{s}}{{inSession}\left( {d_{A},s_{i}} \right)}}},$

where P_(tran)(s_(B), d_(A)) is the transition probability from sessionB 118 to query A 104, in Session(d, s) has a value of 1 if document Dwas viewed in session s, and otherwise is 0, and S_(s) is the set ofsessions in the search history data. In further implementations, inSession(d, s) has a value of 1 if the document had a long-click insession s, and otherwise has a value of 0. Other methods of calculatinga session-to-document transition probability can be used. For example,the transition probability can be 1 if the document was viewed duringthe session, and 0 otherwise.

The system can also calculate query-to-session and session-to-querytransition probabilities from the search history data. In general, aquery-to-session transition probability estimates a strength of arelationship between a query and a session based on whether the querywas submitted during the session and optionally how many queries weresubmitted during the session. A session-to-query transition probabilityestimates a strength of a relationship between a session and a querybased on whether the query is submitted during the session, andoptionally how many sessions the query is submitted in. In someimplementations, the query-to-session transition probability, such asthe transition probability from query A 102 to session A 108, is 0 ifthe query A was not submitted in session A, and otherwise is 1 dividedby the number of queries submitted during the session, e.g.:

${{P_{tran}\left( {q_{A},s_{A}} \right)} = \frac{{inSession}\left( {q_{A},s_{A}} \right)}{\sum\limits_{q_{i} \in S_{q}}{{inSession}\left( {q_{i},s_{A}} \right)}}},$

where P_(tran)(q_(A), s_(A)) is the transition probability from query A102 to session B 108, in Session(q, s) has a value of 1 if query q wassubmitted in session s, and otherwise is 0, and S_(q) is the set ofqueries in the search history data. The system can alternatively useother methods of calculating a query-to-session transition probability.For example, the transition probability can be 1 if the query wassubmitted during the session, and 0 otherwise.

In some implementations, the session-to-query transition probability,for example, from session A 108 to query A 102 is 0 if the query A wasnot submitted in session A, and otherwise is 1 divided by the number ofsessions in which the query was submitted, e.g.:

${{P_{tran}\left( {s_{A},q_{A}} \right)} = \frac{{inSession}\left( {q_{A},s_{A}} \right)}{\sum\limits_{s_{i} \in S_{s}}{{inSession}\left( {q_{A},s_{i}} \right)}}},$

where P_(tran)(s_(A), q_(A)) is the transition probability from sessionA 108 to query A 102, in Session(q, s) has a value of 1 if query q wassubmitted in session s, and otherwise is 0, and S_(s) is the set ofsessions in the search history data. Other methods of calculating asession-to-query transition probability can be used. For example, thetransition probability can be 1 if the query was submitted during thesession, and 0 otherwise. In some implementations, the system calculatesthe transition probability to or from the query and queries that aresimilar to the query rather than just the transition probability to orfrom just the query itself.

The system can calculate a query-to-time transition probability from thesearch history data. In general, a query-to-time transition probabilitymeasures a strength of a relationship between a given query and a giventime based on whether the given query had an increase in popularity atthe given time, and optionally, how often the given query had increasesin popularity. In some implementations, the transition probability fromquery A 102 and time B 120 is calculated from the search history data bydetermining whether query A 102 has a significant increase in popularityat time B 120. If not, then the query-to-time transition probability is0. If query A does have a significant increase in popularity at time B,then the system can calculate the query-to-time transition by dividing 1by the number of times the query had a significant increase inpopularity, e.g.:

${{P_{tran}\left( {q_{A},t_{B}} \right)} = \frac{{peak}\left( {q_{A},t_{B}} \right)}{\sum\limits_{t_{i} \in S_{t}}{{peak}\left( {q_{A},t_{i}} \right)}}},$

where P_(tran)(q_(A), t_(B)) is the transition probability from query A102 to time B 120, peak(q, t) has a value of 1 if the query q had asignificant increase in popularity at time t, and otherwise is 0, andS_(t) is the set of times in the search history data.

In general, the system can determine whether a given query had asignificant increase in popularity at a given time by analyzing apopularity measure for the query over time. The popularity measure canbe, for example, the number of times the query is submitted during agiven period of time divided by the total number of queries submittedduring the period. If the change in popularity measure from one timeperiod to the next changes more than a threshold, then the query had asignificant increase in popularity during the time period where thechange was observed. The threshold can be determined empirically and canbe, for example, an absolute amount, a percentage of the popularitymeasure for the first period, or a percentage of the popularity measurefor the time period where the change was observed.

In some implementations, the transition probability from a query to atime is further based on the geographic location from where the querywas submitted, for example, to identify whether there has been asignificant increase in popularity for the query from a certaingeographic location at a certain time. For example, the popularitymeasure can be the number of times the query is submitted from a givengeographic location divided by the total number of queries submittedfrom that geographic location. Examples of geographic location include,for example, continents, countries, states, and cities.

The system can similarly calculate a time-to-query transitionprobability from the search history data. In general, a time-to-querytransition probability estimates a strength of relationship from a timeand a query based on whether the query had an increase in popularity atthe time, and optionally, how many other queries had an increase inpopularity at the time. In some implementations, the transitionprobability from time B 120 and time A 102 is calculated from the searchhistory data by determining whether query A 102 has a significantincrease in popularity at time B 120. If not, then the query-to-timetransition probability is 0. If query A does have a significant increasein popularity at time B 120, then the query-to-time transition is 1divided by the number of queries having a significant increase inpopularity at time A 102, e.g.:

${{P_{tran}\left( {t_{B},q_{A}} \right)} = \frac{{peak}\left( {q_{A},t_{B}} \right)}{\sum\limits_{q_{i} \in S_{q}}{{peak}\left( {q_{i},t_{B}} \right)}}},$

where P_(tran)(t_(B), q_(A)) is the transition probability from time B120 to query A 102, peak(q, t) has a value of 1 if the query q had asignificant increase in popularity at time t, and otherwise is 0, andS_(q) is the set of queries in the search history data. In someimplementations, the transition probability from a time to a query isfurther based on the location where the query was issued, for example,to identify whether there has been a significant increase in popularityfor the query from a certain location at a certain time.

The system can also calculate transition probabilities from data inaddition to the search history data, for example, from document data. Insome implementations, the system calculates a document-to-documenttransition probability, for example, from document A 104 to document B114 based on whether document A 104 has an anchor pointing to document B114. This document-to-document transition probability estimates astrength of relationship for the documents from their anchors. Forexample, the transition probability can be calculated using thefollowing equations:

${{P_{tran}\left( {d_{A},d_{B}} \right)} = \frac{{Anchor}\left( {d_{A},d_{B}} \right)}{\sum\limits_{d_{i} \in S_{d}}{{Anchor}\left( {d_{A},d_{i}} \right)}}},$

where Anchor(d_(i), d_(j)) is the number of anchors from d_(i) to d_(j).In some implementations, the anchors are filtered based on their textand Anchor(d_(i), d_(j)) is defined as follows:

${{{Anchor}\left( {d_{i},d_{j}} \right)} = \frac{{AnchorTextSimilarToDocumentQuery}\left( {A_{d_{i},d_{j}},Q_{d_{i}}} \right)}{\sum\limits_{A_{d_{i},d_{x}} \in S_{A}}^{\;}{{AnchorTextSimilarToDocumentQuery}\left( {A_{d_{i},d_{x}},Q_{d_{i}}} \right)}}},$

where S_(A) is the set of outbound anchors from document d_(i),AnchorTextSimilarToDocumentQuery (A_(di, dj), Q_(di)) measures whetheran anchor A_(di, dj) from document d_(i) to document d_(j) includesanchor text that is similar to at least one query in Q_(di), and Q_(di)is the set of queries having a transition probability to document d_(i)that exceeds a given threshold. The threshold can be empiricallydetermined or can be based, for example, on the average transitionprobability from queries to documents. The similarity between anchortext and query text is determined based on textual similarity (e.g., thetexts are similar when the edit distance between the anchor text and thequery text is small), based on semantic similarity (e.g., the texts aresimilar when the anchor text and the query text have the same meaning),or based on both textual and semantic similarity. In someimplementations, semantic similarity is determined, for example, basedon transition probabilities from queries for the anchor text to queriesfor the query text, and vice versa. For example, if the transitionprobability from a query for the anchor text to a query for the querytext exceeds a threshold, and the transition probability from a queryfor the anchor text to a query for the query text exceeds a threshold,then the anchor text and the query text can be determined to besemantically similar.

In some implementations, AnchorTextSimilarToDocumentQuery(A_(di, dj),Q_(di)) is 1 if an anchor with similar text exists, and is 0 otherwise.In alternative implementations,AnchorTextSimilarToDocumentQuery(A_(di, dj), Q_(di)) is proportional tothe transition probabilities from queries having a similarity to theanchor text to the document d_(i). For example, in some implementations:

${{AnchorTextSimilarToDocumentQuery}\left( {A_{d_{i},d_{j}},Q_{d_{i}}} \right)} = {\sum\limits_{q_{y} \in S_{qs}}\left( {{q_{y} \times {{TM}\left( {d_{i},q_{y}} \right)}},} \right.}$

where S_(qs) is the set of queries in Q_(di) having text similar to thetext of an anchor from d_(i) to d_(j), and TM(d_(i), q_(y)) is atransition probability from document d_(i) to q_(y).

The system can calculate document-to-domain transition probabilities anddomain-to-document transition probabilities from relationships betweendocuments and domains that are external to the search history data. Thedocument-to-domain transition probability measures whether a givendocument is in a given domain. In some implementations, thedocument-to-domain transition probability, such as the transitionprobability from document A 104 to domain A 106, is 0 if the document isnot in the domain, and 1 if the document is in the domain. Heuristicscan be used to resolve permanent redirects during aggregation and avoidaggregation over hosting domains such as blogspot.com. For example, thesystem can look at domain registration to determine who is associatedwith certain documents and certain domains, and can receive feedbackfrom human evaluators on documents have permanent redirects and whatdomains are hosting domains. Other heuristics for resolving permanentredirects and avoiding aggregation over hosting domains can also beused.

A domain-to-document transition probability measures the strength of arelationship between a given domain and a given document, for example,based on how important the document is to the domain (e.g., whether thedocument is in the domain, and optionally, how many other documents arein the domain). In some implementations, the domain-to-documenttransition probability, such as the transition probability from domain A106 to document A 104, is 0 if the document is not in the domain, andotherwise is 1 divided by the number of documents in the domain, e.g.:

${{P_{tran}\left( {w_{A},d_{A}} \right)} = \frac{{domainOf}\left( {d_{A},w_{A}} \right)}{\sum\limits_{d_{i} \in S_{d}}{{domainOf}\left( {d_{i},w_{A}} \right)}}},$

where P_(tran)(w_(A), d_(A)) is the transition probability from domain A122 to document A 104, domainOf(d, w) has a value of 1 if the document dis in the domain w and a value of 0 otherwise, and S_(d) is the set ofdocuments in the search history data. Other domain-to-documenttransition probabilities are also possible. For example, in someimplementations, a threshold value is selected, for example,empirically, and the transition probability is selected to satisfy thethreshold (e.g., exceed the threshold) if the document is in the domain,and otherwise is selected to not satisfy the threshold (e.g., be belowthe threshold).

The system can also calculate a query-to-advertisement transitionprobability that measures how important revenue from advertisement is tooverall revenue generated for the query. In some implementations, thesystem can calculate the transition probability from query B 116 toadvertisement A 110 by dividing the revenue generated when advertisementA 110 is displayed in response to query B 116 by the total revenuegenerated by advertisements presented in response to query B 116, e.g.:

${{P_{tran}\left( {q_{B},a_{A}} \right)} = \frac{{rev}\left( {q_{B},a_{A}} \right)}{\sum\limits_{a_{i} \in S_{a}}{{rev}\left( {q_{B},a_{i}} \right)}}},$

where P_(tran)(q_(B), a_(A)) is the transition probability from query B116 to advertisement A 110, rev(q, a) is the revenue generated whenadvertisement a is presented in response to query q, and S_(a) is theset of ads for which there is revenue data. Other ways of calculatingthe transition probability are also possible.

The system can also calculate an advertisement-to-query transitionprobability that measures how important revenue from a query is tooverall revenue generated for an advertisement. For example, the systemcan calculate the transition probability from advertisement A 110 toquery B 116 by dividing the revenue generated when advertisement A ispresented in response to query B by the total revenue generated fromadvertisement A, e.g.:

${{P_{tran}\left( {a_{A},q_{B}} \right)} = \frac{{rev}\left( {q_{B},a_{A}} \right)}{\sum\limits_{q_{i} \in S_{q}}{{rev}\left( {q_{i},a_{A}} \right)}}},$

where P_(tran)(a_(A), q_(B)) is the transition probability fromadvertisement A 110 to query B 116, rev(q, a) is the revenue generatedwhen advertisement a is presented in response to query q, and S_(a) isthe set of ads for which there is revenue data. Other ways ofcalculating the transition probability are also possible.

FIG. 4 illustrates an example transition matrix 400 generated from thefirst order transition probabilities between entities shown in FIG. 1.The transition matrix shown in FIG. 4 stores first order transitionprobabilities for a finite Markov chain, including transitionprobabilities between pairs of the queries, documents, ads, sessions,and time. For example, the document-to-query transition probabilitiesare stored in block 402, the advertisement-to-query transitionprobabilities are stored in block 404, the session-to-query transitionprobabilities are stored in block 406, and the time-to-query transitionprobabilities are stored in block 408. Similarly, the query-to-documenttransition probabilities are stored in block 410, thequery-to-advertisement transition probabilities are stored in block 412,and so on. The transition probabilities stored in matrix 400 are firstorder, because they are derived only from the search history data, anddo not include indirect transition probabilities.

Higher order transition probabilities (i.e., transition probabilitiesincluding indirect transition probabilities) between entities arecalculated through a series of multiplications of the transition matrix.Each multiplication is equivalent to one step in the Markov chain andallows the system to incorporate indirect transition probabilities forthat additional step. For example, second order query-to-querytransition probabilities are calculated by multiplying the matrix 400(or at least the part 410 of the matrix including the query-to-documenttransition probabilities) by the matrix 400 (or at least the part 402 ofthe matrix including the document-to-query transition probabilities).The resulting product for each query pair is the transition probabilityof moving from a node corresponding to the first query in the pair to anode corresponding to the second query in the pair, going throughdocuments connected to the two query nodes in the graph. Higher ordertransition probabilities (especially those resulting from more than twomultiplications of the transition matrix) can expose indirectrelationships between entities that otherwise seem unrelated.

The types of transition probabilities that are multiplied during thematrix multiplication reflect how the entities are related. For example,query-to-query transition probabilities can be calculated by multiplyingquery-to-document transition probabilities by document-to-querytransition probabilities, or query-to-query transition probabilities canbe calculated by multiplying query-to-time transition probabilities bytime-to-query transition probabilities. The first type of query-to-querytransition probability relates queries based on the documents that usersselect in response to the queries, while the second type ofquery-to-query transition probability relates queries based on the timesthey have increases in popularity.

In addition to identifying real relationships between entities, theMarkov chain model can identify weak relationships between entities thatare due to noise in the model. These weak relationships will be furtherreinforced by multiple matrix multiplications. In some implementations,the system addresses the problems posed by these weak relationshipsthrough one or more of clipping, row normalization, and raising theentries in the matrix to an exponential power. The system performsclipping by discarding transition probabilities in the matrix that arebelow a certain threshold (determined, for example, empirically). Thesystem performs row normalization by dividing the entities in each rowof the matrix by the sum of the entries in the row (e.g., so that theentities in each row will sum to one). The system raises the entities inthe matrix to an exponential power to either lessen the effect of weakrelationships or increase the effect of weak relationships. In general,the fact that there is an entry in the matrix for two entities tells youthat there is a relationship between the entities, and that therelationship has a certain strength. Exponents above 1 accentuate thestrength of the relationship over the fact that there is a relationship,and will generally lessen the effect of weak relationships (whenprobabilities are all less than or equal to one) and lead to thedevelopment of clusters of entities. Exponents below 1 (e.g., between 0and 1) accentuate the fact that there is a relationship over thestrength of the relationship and will increase the effect of weakrelationships (when probabilities are all less than or equal to one) andlead to fewer clusters. An exponent of 0 has the same effect as theegalitarian step function described above. In some implementations, thesystem performs one or more of clipping, row normalization, and raisingthe entries in the matrix to an exponential power after eachmultiplication of the matrices. In alternative implementations, thesystem performs the clipping, row normalization, and raising the entriesin the matrix to an exponential power less frequently, e.g., only oncethe matrix multiplications are complete.

Other forms of the transition matrix 400 can also be used, for example,different entities can be included in the transition matrix, includingdomains, users, and anchors in documents. As another example, smallerforms of the transition matrix can be used, for example, a transitionmatrix that just includes document-to-query and query-to-documenttransition probabilities (e.g., blocks 402 and 410). As yet anotherexample, an aggregate transition matrix, resulting from themultiplication of two or more transition matrices can also be used.

The first order and higher order transition probabilities describedabove can be used in a variety of applications. For example,advertisement-to-query and query-to-advertisement transitionprobabilities can be used to identify advertisements relevant to auser's query (e.g., by identifying the advertisement with the highesttransition probability from the query). Advertisement-to-query andquery-to-advertisement transition probabilities can also be used todetermine how commercial a query is (i.e., queries with a hightransition probability to many advertisements are more commercial thanqueries with lower transition probabilities to the advertisements).Queries that are identified as commercial queries can be determined tobe more likely to be spam queries, or responsive search results tocommercial queries can be ranked differently than results responsive tonon-commercial queries. Some additional exemplary uses of the transitionprobabilities are described below.

FIG. 5 is a graph illustrating transition probabilities between queriesand documents. The graph is a graphical representation of a transitionmatrix, such as the transition matrix described above with reference toFIG. 4. The transition probabilities illustrated in the graph can beused by a system, for example, by the search system 214 or anothersystem, to identify relationships between documents and queries, forexample, between pairs of queries, pairs of queries and documents, andpairs of documents. While the examples below focus on multiplyingindividual transition probabilities identified from the graph, the sameeffect can be achieved for all nodes in the graph by multiplyingtransition matrices storing data corresponding to the relevanttransitions.

The system uses the transition probabilities illustrated in the graph togenerate transition probabilities between pairs of queries bymultiplying query-to-document transition probabilities bydocument-to-query transition probabilities along a path between the twoqueries. For example, query C 514 and query D 516 are connected throughdocument F 512 (e.g., because the system stores data for the transitionfrom query C 514 to document F and the transition from document F toquery D 516 in a transition matrix). Therefore, a transition probabilitybetween query C 514 and query D 516 can be calculated by multiplying thetransition probability from query C 514 to document F 512 by thetransition probability from document F 512 to query D 516 (i.e., 0.4times 0.9, or 0.36). The system can also calculate transitionprobabilities for queries that are not directly joined through a singledocument in the graph by performing additional multiplications. Forexample, query A 506 and query C 514 are connected on a path throughdocument A 502 to query B 410 to document E 508. Therefore, a transitionprobability from query A 506 to query C 514 can be calculated bymultiplying the transition probability from query A 506 to document A502 (0.5) by the transition probability from document A 502 to query C514. The transition probability from document A 502 to query C 514 canbe calculated by multiplying the transition probability from document A502 to query B 510 (0.1) by the transition probability from query B 510to document E 508 (0.2) by the transition probability from document E508 to query C 514 (0.8).

While the above examples describe calculating transition probabilitieswhen there is a single path between two queries in the graph, transitionprobabilities can similarly be calculated when there are multiple pathsbetween queries, for example, by taking the sum of the transitionprobabilities along the paths.

The system can use the query-to-query transition probabilities toidentify two queries as related queries, for example, when thetransition probability between the queries exceeds a given threshold.The threshold can be an absolute number or can be determined based onthe transition probabilities for the queries being compared. Forexample, the system could empirically determine that everyquery-to-query transition probability above a certain value indicatesthat the queries corresponding to the transition probability arerelated. Alternatively, the system could calculate the threshold basedon the query-to-query transition probabilities that were generated. Forexample, the system could set the threshold to be a percentage of thehighest transition probability or a multiple of the lowest transitionprobability. Other techniques for determining the threshold are alsopossible. For example, the system can calculate the transitionprobability from a query to itself and set the threshold for allquery-to-query transitions from that query to be the transitionprobability from the query to itself or the product of the transitionprobability from the query to itself scaled by a factor. The factor canbe determined, for example, empirically.

The system can also use the transition probabilities illustrated in thegraph to identify relationships between queries and documents. Forexample, the system can calculate the transition probability from queryA 506 to document A 502 by identifying the transition probability fromquery A 506 to document A 502 (0.5). The system can also calculatetransition probabilities between documents and queries when there is nota direct transition between the document and the query in the graph. Forexample, the system can calculate the transition probability from queryA 506 to document E 508 by multiplying the transition probability fromquery A 506 to document A 502 by the transition probability fromdocument A 502 to query B 510 by the transition probability from query B510 to document E 508 (i.e., 0.5 times 0.1 times 0.2, or 0.01).

In some implementations, the system uses the transition probability froma query to a document (or another value calculated from the transitionprobability) to modify data provided as input to a document rankingprocess used to rank documents responsive to the query. For example, insome implementations, for a given document and a given query, the systemidentifies a document that has a high rank as a search result for thequery and that is related to the given document by the transitionprobabilities. The system then provides signals for the highly rankeddocument and the given query to the ranking process as signals for thegiven document and the given query. The signals can include, forexample, an overall score for the document and the query or an overallmeasure of the quality of the document. In some further implementations,the system scales the signals, for example, by the transitionprobability or a factor derived from the transition probability beforethey are provided to the document ranking process.

The system can also generate transition probabilities from one documentto another from transition probabilities between the documents andqueries. For example, the search system can calculate a query-baseddocument-to-document transition probability from document A 502 todocument D 504 from the document-to-query transition probability fromdocument A 502 to query A 506 and the query-to-document transitionprobability from query A 506 to document D 504, for example, bymultiplying the document-to-query transition probability by thequery-to-document transition probability (i.e., 0.8 times 0.5, or 0.40).Similarly, the search system can calculate a document-to-documenttransition probability from document A 502 to document E 508 bymultiplying the document-to-query transition probability from document A502 to query B 510 by the query-to-document transition probability fromquery B 510 to document E 508 (i.e., 0.1 times 0.2, or 0.02). In someimplementations, the search system can perform additionalmultiplications to reach documents that are an additional step away inthe graph. For example, the document-to-document transition probabilityfrom document A 502 to document F 512 can be calculated by multiplyingthe document-to-query transition probability from document A 502 toquery B 510 (0.1) by the query-to-document transition probability fromquery B 510 to document F 512. The document-to-query transitionprobability from query B 510 to document F 512 can be calculated bymultiplying the query-to-document transition probability from query B510 to document E 508 by the document-to-query transition probabilityfrom document E 512 to query C 514 by the query-to-document transitionprobability from query C 514 to document F 512 (0.2 times 0.8 times 0.4,or 0.064).

The system can use these query-based document-to-document transitionprobabilities to identify documents as related. For example, if thetransition probability from one document to another exceeds a certainthreshold, the two documents can be related. Once the documents arerelated, the system can use the relationships in various ways, forexample, to identify additional documents responsive to a search queryand modify the rankings of documents responsive to the query, or tomodify the score of a document based on anchors, text, and queriesassociated with related documents.

FIG. 6 illustrates an example method 600 for identifying an expandedgroup of documents relevant to a topic from an initial group ofdocuments relevant to the topic. For convenience, the method 600 will bedescribed with reference to a system that performs the steps of themethod. The system can be, for example, a search system or anothersystem.

The system obtains a first group of documents identified as relevant toa topic (step 602). In general, a topic is a category or an area ofinterest. In some implementations, the group of documents ispre-defined, and the system obtains the documents, for example, byretrieving them from a database that associates topics with groups ofdocuments.

In some implementations, the system identifies some or all of the firstgroup of documents from a set of queries identified as relevant to thetopic. For example, the system can receive a set of queries identifiedas relevant to the topic and select a group of documents with a highquery-to-document transition probability from one or more of thequeries. The documents can be selected based on a high query-to-documenttransition probability from an individual query in the set of queries,or based on a high query-to-document transition probability frommultiple queries in the set of queries (for example, all of the queries,or a subset of two or more queries). When the documents are selectedbased on query-to-document transition probabilities from more than onequery, the documents can be selected, for example, based on a sum oftheir query-to-document transition probabilities for the relevantqueries. In some implementations, the system combines an initial groupof documents identified as relevant to the topic with the group ofdocuments identified from the queries to obtain the first group ofdocuments.

The system identifies one or more additional documents for each documentin the first group of documents using transition probabilities fromdocuments to queries and from queries to documents (step 604). Thesystem identifies the one or more additional documents, for example, asdescribed above with reference to FIG. 5, by generatingdocument-to-document transition probabilities by multiplyingdocument-to-query and query-to-document transition probabilities, eitherindividually, or through multiplication of transition matrices, and thenselecting additional documents whose transition probabilities satisfy agiven threshold.

The system then generates an expanded group of documents including theadditional documents (step 606). For example, the system can combine thefirst group of documents and the additional documents identified in step604 into one set of documents. Alternatively, the system can generatethe expanded group of documents from just the additional documents

Once the system generates an expanded group of documents, the system canpresent the documents to a user, for example, by transmitting data forthe documents, or a summary or description of the documents, to a clientcomputer of the user.

FIG. 7 illustrates an example method 700 for augmenting a group ofdocuments responsive to a query with documents related to the top rankeddocument in the group of documents. For convenience, the method 700 willbe described with reference to a system that performs the steps of themethod. The system can be, for example, the search system 214 or anothersearch system.

The system receives a group of documents responsive to a query (step702). The documents can be received, for example, from a search enginesuch as the search engine 230. The documents are ranked based in part ona document quality score, and include a top-ranked document. Generallyspeaking, the document quality score is a metric for the document that asearch system can use to determine an appropriate rank for the document.The document quality score can reflect an overall quality of thedocument (e.g., how often other documents link to the document, or thegeneral popularity of the document), or the document quality score canreflect a correspondence between the query and the document (e.g., howoften query terms appear in the document, how often users click on thedocument after submitting the query, etc.).

The system identifies a group of additional documents related to thetop-ranked document (step 704), for example, using the method 600described above with reference to FIG. 6.

The system then calculates a similarity score between the top-rankeddocument and each additional document (step 706). The similarity scorecan be calculated from the transition probabilities from the top-rankeddocument to one or more queries, and from the one or more queries toeach of the additional documents. For example, the similarity scores canbe the transition probabilities from the top-ranked document to eachadditional document, calculated as described above with reference toFIG. 5, or can be derived from the transition probabilities (forexample, by multiplying the transition probabilities by a constant). Insome implementations, the similarity score is calculated during step704, and merely retrieved in step 706.

The system then calculates a modified document quality score for each ofthe additional documents and inserts the additional documents into thegroup of documents responsive to the query according to the modifieddocument quality score (step 708). The system calculates the modifieddocument quality score from the document quality score of the top-rankeddocument and the similarity score between the additional document andthe top-ranked document, for example, by multiplying the similarityscore by the document quality score of the top-ranked document.

In some implementations, the system inserts the additional documentsinto the group of documents by calculating a ranking score for each ofthe additional documents using the modified document quality score andadding the additional document to the group of documents in a locationbased on the ranking score. For example, if the group of documents issorted from lowest score to highest score, the additional document isinserted into the group of documents at the appropriate location givenits ranking score. In some implementations, the group of documents isnot stored in a sorted order and inserting the additional document intothe group of documents according to the modified document quality scoremeans adding the additional document to the group of documents andstoring the ranking score for the additional document in the same waythe scores for the other documents in the group are stored. In someimplementations, at least one of the additional documents is alreadyincluded in the group of documents, and inserting the additionaldocument into the group of documents means that the score for theadditional document is modified to reflect the modified document qualityscore.

In some implementations, the system identifies additional documentsrelated to a set of the top-ranked documents, rather than a singletop-ranked document. In these implementations, the system can rank eachof the additional documents based on the similarity score between theadditional document and one or more of the top-ranked documents and thedocument quality score of the top-ranked document. For example, thesystem can use a weighted average of the document quality scores of thetop-ranked documents, where the document quality scores are weighted bythe similarity score of the corresponding top-ranked document and theadditional document.

FIG. 8 illustrates an example architecture of a system 800. The systemgenerally consists of a data processing apparatus 802. While only onedata processing apparatus is shown in FIG. 8, multiple data processingapparatus can be used.

The data processing apparatus 802 includes various modules, e.g.executable software programs, including an additional documentidentifier 804, a group of documents generator 806, a similarity scorecalculator 808, and a document ranking engine 810. Each module runs, forexample, as part of an operating system on the data processingapparatus, runs as one or more applications on the data processingapparatus, or runs as part of the operating system and part of one ormore applications. The additional document identifier 804 can identifyone or more additional documents related to a group of documents, forexample, as described above with reference to FIG. 6. The group ofdocuments generator 806 can combine an initial group of documents withone or more additional documents, resulting in a final set of documents,for example, as described above with reference to FIG. 6. The group ofdocuments generator 806 can optionally generate the final set ofdocuments in a ranked order, for example, as described above withreference to FIG. 7. The similarity score calculator 806 calculates asimilarity score between two documents based on transition probabilitiesfrom the first of the documents to one or more queries, and the one ormore queries to the second of the documents, for example, as describedabove with reference to FIG. 7. The document ranking engine 810generates rankings for documents responsive to a query based on one ormore signals, for example, as described above with reference to FIG. 7.The modules can be combined or sub-divided differently than shown inFIG. 8.

The data processing apparatus 802 can also have hardware or firmwaredevices including one or more processors 812, one or more additionaldevices 814, computer readable medium 816, a communication interface818, and one or more user interface devices 820. Each processor 812 iscapable of processing instructions for execution within the dataprocessing apparatus 802. In some implementations, the processor 812 isa single-threaded processor. In other implementations, the processor 812is a multi-threaded processor. The processor 812 is capable ofprocessing instructions stored on the computer readable medium 816 or onthe one or more additional devices 814. The data processing apparatus802 can use its communication interface 818 to communicate with one ormore computers, for example, over a network. For example, the dataprocessing apparatus 802 can receive queries from a user computerthrough its communication interface. Examples of user interface devices820 include a display, a camera, a speaker, a microphone, a tactilefeedback device, a keyboard, and a mouse.

The data processing apparatus 802 can store instructions that implementoperations associated with the modules described above, for example, ona computer readable medium 816 or one or more additional devices 814,for example, one or more of a floppy disk device, a hard disk device, anoptical disk device, or a tape device. In some implementations, the dataprocessing apparatus 802 also stores one or more of transition matrices,search history data, or other data on the computer readable medium 816or on one or more additional devices 814.

FIG. 9 illustrates an example method 900 for scoring and ranking a firstdocument relevant to a query based on anchors from a second documentthat is related to the first document. For convenience, the method 900will be described with reference to a system that performs the steps ofthe method. The system can be, for example, the search system 214 oranother search system.

The system identifies a second document as related to a first documentfrom a transition probability from the first document to a query andfrom the query to the second document (step 902), for example, asdescribed above with reference to FIG. 5. In some implementations thesystem further identifies the two documents as related based on atransition probability from the first document to the second documentbased on the anchors in the first document. The document-to-documenttransition probability can be calculated, for example, as describedabove with reference to FIG. 1. Alternatively, the document-to-documenttransition probability can be calculated by multiplying a transitionprobability from the first document to an anchor and a transitionprobability from the anchor to the second document. In someimplementations, the transition probability from a document to an anchormeasures the strength of the relationship between the document and theanchor based on whether the document includes the anchor. For example,the transition probability can be 1 if the document includes the anchor,and 0 otherwise. In some implementations, the transition probabilityfrom an anchor to a document measures the strength of the relationshipbetween the anchor and the document based on whether the anchor links tothe document. For example, the transition probability can be 1 if theanchor links to the document, and 0 otherwise. If the query-basedtransition probability between the two documents satisfies a thresholdand the anchor-based transition probability between the two documentssatisfies a threshold, then the system determines that the two documentsare related.

The system generates a score for the first document based on the text ofthe first document and an anchor in the second document (step 904). Thesystem can generate the score, for example, by treating the firstdocument as if it included the anchor in the second document, and thenscoring the first document the way it normally would, if the firstdocument included the anchor in the second document. In someimplementations, the effect of the anchor on the score is weighted basedon a similarity score for the first and second documents. The similarityscore can be derived from the transition probability from the firstdocument to the second document, calculated, for example, as describedabove with reference to FIG. 5. The similarity score can be thetransition probability itself, or another value derived from thetransition probability. In some implementations, the similarity scorefurther reflects the anchor based document-to-document transitionprobability between the two documents.

In some implementations, the score for the first document is furtherbased on text from the second document. For example, the system canscore the first document as if it contained text from the seconddocument (e.g., as if it contained all of the text of the seconddocument, or a subset of the text, such as the title of the document).In general, the system scores the first document as if it contained textfrom the second document by scoring the augmented second document in thesame way it would score a document having the text of the first documentand the additional text from the second document.

In some implementations, the score for the first document is furtherbased on a query associated with the second document. For example, ifthe system scores a query and a document based in part on a quality ofresult statistic for a query and a document, the system can use thequality of result statistic for the query and the second document (or aweighted version of the quality of result statistic for the query andthe second document) as the quality of result statistic for the queryand the first document. The system can weight the quality of resultstatistic based on the similarity score between the two documents.

The system ranks the first document as a search result for the queryaccording to the score (step 906). The system can rank the documentaccording to the score for example, using a ranking engine that receivesdocuments responsive to a query and scores for the documents, and ordersthe documents according to the score (for example, from lowest tohighest or highest to lowest score).

FIG. 10 illustrates an example architecture of a system 1000. The systemgenerally consists of a data processing apparatus 1000. While only onedata processing apparatus is shown in FIG. 10, multiple data processingapparatus can be used.

The data processing apparatus 1002 includes various modules, e.g.executable software programs, including a document relationshipidentifier 1004 and a scoring module 1006. Each module runs, forexample, as part of a operating system on the data processing apparatus,runs as one or more applications on the data processing apparatus, orruns as part of the operating system and part of one or moreapplications. The document relationship identifier 1004 identifies asecond document related to a first document, for example, as describedabove with reference to FIG. 9. The scoring module 1006 modifies a scorefor the first document and a query based in part on one or more ofanchors in the second document, text in the second document, or qualityof result statistics for the second document and the query, for example,as described above with reference to FIG. 9. The modules can be combinedor sub-divided differently than shown in FIG. 10.

The data processing apparatus 1002 can also have hardware or firmwaredevices including one or more processors 812, a communication interface818, and one or more user interface devices 820. These devices aredescribed above with reference to FIG. 8. The data processing apparatus1002 can store instructions that implement operations associated withthe modules described above, for example, on a computer readable medium1010 or one or more additional devices 1008. In some implementations,the data processing apparatus 802 also stores one or more of transitionmatrices, search history data, or other data on the computer readablemedium 1010 or on one or more additional devices 1008.

FIG. 11 is a graph illustrating transition probabilities between domainsand documents and transition probabilities between documents andqueries. The graph is a graphical representation of a transition matrix,such as the transition matrices described above with reference to FIG.4. The transitions illustrated in FIG. 11 can be used by a system, forexample, the search system 214, or another system, to identify queriesrelated to documents in a given domain. While the examples below focuson multiplying individual transition probabilities illustrated in thegraph, the same effect can be achieved for all nodes in the graph bymultiplying transition matrices storing data corresponding to therelevant transitions.

The system can calculate domain-to-query transition probabilities fromthe transition probabilities shown in the graph by multiplyingdocument-to-domain transition probabilities by document-to-querytransition probabilities. For example, the system can calculate thetransition probability from domain A 1102 to query A 1104 by multiplyingthe transition probability from domain A 1102 to document A 1106 by thetransition probability from document A 1106 to query A 1104 (i.e., 0.4times 0.6, or 0.24).

If multiple documents in the domain have a transition probability to thesame query, the system can calculate the transition probability from thedomain to the query by summing the transition probabilities from thedomain to the query along the paths through each document in the domain.For example, the system can calculate the transition probability fromdomain B 1108 to query C 1110 by calculating the transition probabilityfrom domain B 1108 to query C 1110 through document C 1112 (0.3 times0.1, or 0.03), calculating the transition probability from domain B 1108to query C 1110 through document D 1114 (0.2 times 0.8, or 0.16), andcalculating the transition probability from domain B 1108 to query C1110 through document E 1116 (0.5 times 0.6, or 0.3), and then takingthe sum of the three transition probabilities (0.3 plus 0.16 plus 0.3,or 0.76).

The system can also similarly calculate domain-to-domain transitionprobabilities, for example, by multiplying transition probabilities froma domain to a query by a transition probability from the query to thedomain.

Once the system calculates transition probabilities from the domain toone or more queries, the system can identify one or more queries relatedto the domain from the transition probabilities, for example, byidentifying the one or more queries with transition probabilities abovea certain threshold. The threshold can be, for example, an absolutenumber, or determined based on the transition probabilities for thequeries being compared. The system can also associate similar domains(based on a transition probability between the domains, or similarqueries associated with the domains) and then propagate properties ofone domain to the other domain.

FIG. 12 illustrates an example method 1200 for classifying a domainbased on queries related to the domain. For convenience, the method 1200will be described with reference to a system that performs the steps ofthe method. The system can be, for example, the search system 214 oranother system.

The system obtains similarity scores for a domain and one or morequeries (step 1202). The similarity scores can be the transitionprobabilities between the domain and the queries, and can be calculated,for example, as described above with reference to FIG. 11. In someimplementations, the similarity scores are pre-calculated and stored,for example, in a database. In alternative implementations, the systemcalculates the similarity scores as they are needed.

The system identifies a group of queries based on the similarity scores(step 1204). In some implementations, where higher similarity scoresindicate a higher similarity, the group of queries is the group ofqueries whose similarity score exceeds a threshold, for example, asdescribed above with reference to FIG. 11. In some implementations,where lower similarity scores indicate a higher similarity, the group ofqueries is the group of queries whose similarity scores are below athreshold.

The system then determines a classification for the domain from thegroup of queries (step 1206). The classification can be a single conceptor can be multiple concepts. In some implementations, the classificationis the queries themselves. For example, if a domain is associated withthe queries “food” and “dessert,” the domain can be classified as havinga classification of “food” and “dessert.” In alternativeimplementations, the classification can be derived from the text of thequeries, for example, by looking the queries up in a database thatassociates queries with candidate classifications and selecting theclassification (or multiple classifications) most commonly associatedwith the queries.

In some implementations, the system can determine a classification for asecond domain, for example, using the method 1200, and then associatethe two domains if they have the same classification. Associating twodomains can include, for example, relating the two domains in the searchsystem. In alternative implementations, the two domains are associatedbased on transition probabilities from domain to domain, calculated, forexample, as described above with reference to FIG. 11.

The association between two domains can be used to propagate propertiesfrom one domain to another. For example, if one domain has beenidentified as a spam domain, the other domain can be similarlyidentified. If one domain is associated with a particular topic, theother domain can also be associated with the topic. If one domain has agiven quality, the other domain can be assumed to have a similarquality. Other properties can also be propagated.

FIG. 13 illustrates an example architecture of a system 1300. The systemgenerally consists of a data processing apparatus 1302. While only onedata processing apparatus is shown in FIG. 13, multiple data processingapparatus can be used.

The data processing apparatus 1302 includes various modules, e.g.executable software programs, including a similarity score calculator1304, a query identifier 1306, and a classification determiner 1308.Each module runs, for example, as part of an operating system on thedata processing apparatus, runs as one or more applications on the dataprocessing apparatus, or runs as part of the operating system and partof one or more applications. The similarity score calculator calculatesa similarity score between a domain and a query, for example, asdescribed above with reference to FIG. 12. The query identifier 1306identifies one or more queries related to a domain based on thesimilarity scores, for example, as described above with reference toFIG. 12. The classification determiner 1308 determines a classificationfor a domain based on the queries related to the domain, for example, asdescribed above with reference to FIG. 12. The modules can be combinedor sub-divided differently than shown in FIG. 13.

The data processing apparatus 1302 can also have hardware or firmwaredevices including one or more processors 812, a communication interface818, and one or more user interface devices 820. These devices aredescribed above with reference to FIG. 8.

The data processing apparatus 1302 can store instructions that implementoperations associated with the modules described above, for example, ona computer readable medium 1312 or one or more additional devices 1310.In some implementations, the data processing apparatus 1312 also storesone or more of transition matrices, search history data, transitionprobabilities, or other data on the computer readable medium 1312 or onone or more additional devices 1310.

FIG. 14 is a graph 1400 illustrating example transition probabilitiesbetween queries and times when the queries had an increase inpopularity. The transitions illustrated in FIG. 14 can be used by asystem, for example, the search system 214 or another search system, toidentify queries that are temporally related. In general, queries aretemporally related when they are issued around the same time. Forexample, queries for the movie awards event “the Oscars” and the holiday“Valentines Day” might both have an increase in popularity around thesame time, since both are in February each year. Therefore, the systemcan determine that the two queries are temporally related. When queriesare temporally related and one query has an increase in popularity (forexample, when “Valentines Day” has an increase in popularity), thesystem can determine that the other query has (or soon will have) asimilar increase in popularity. While the examples below focus onmultiplying individual transition probabilities identified from thegraph, the same effect can be achieved for all nodes in the graph bymultiplying transition matrices storing data corresponding to therelevant transitions.

The transition probabilities illustrated in the graph 1400 can be usedto calculate transition probabilities between two queries through aseries of multiplications of transition probabilities. For example, thetransition probability between query E 1402 and query A 1404 can becalculated by multiplying the transition probability between query E1402 and time B 1406 by the transition probability between time B 1406and query A 1404 (i.e., 0.6 times 0.4, or 0.24). Transitionprobabilities between entities that are connected along longer paths canalso be calculated through additional multiplications.

The system can identify queries that are temporally related based on thecalculated time-based query-to-query transition probabilities. Forexample, the system can determine that two queries are temporallyrelated if their transition probability exceeds a threshold. Thethreshold can be, for example, an absolute number, or determined basedon the transition probabilities for the queries being compared.

An increase in popularity of a query can be an indication that somethingnew is occurring with the subject of the query, and therefore, contentof documents responsive to the query may have changed or new documentsrelevant to the query may be added to the corpus of documents. Forexample, the Oscars awards show is different each year, and thereforenew documents with stories about the Oscars will likely be added to thecorpus of documents in the days leading up to and following the Oscars.If a new Oscars is about to be held (or has just been held), userssearching for “Oscars” will likely want documents relevant to thecurrent year's Oscars, not to previous years Oscars. However,traditional document scoring techniques rely on many signals, such asanchor scores and historical quality of result scores, that reflect ahistorical state of a corpus of documents, and do not reflect suddenchanges to documents or user interests. Scoring data determined fromanchors in a document and anchors to a document is based on a previouslyexisting network of documents, and therefore can be considered a measureof the historical relevance of a document. Historical quality of resultsscores calculated from search history data over a past period of timereflect past relevance of a document to a query, and therefore can beconsidered a measure of the historical relevance of the document.Traditional document scoring techniques can also rely on otherhistorical signals. Therefore, new documents, or newly updateddocuments, that are scored using these historical signals may notreceive as high of a score as they should. To solve this problem, whenthe system detects that a query has (or soon will have) an increase inpopularity, the system can favor fresh results for the query by, forexample, discounting the weight the system gives to scoring signalsbased on historical data for documents or the documents and the query,or by increasing the weight given to scoring signals based on thecontent of the document itself (e.g., scoring signals estimating howoften the query terms appear in the document).

FIG. 15 illustrates an example method 1500 for temporal boosting ofsearch results responsive to queries. For convenience, the method 1500will be described with reference to a system that performs the steps ofthe method. The system can be, for example, a search system 214 oranother search system.

The system identifies an increase in popularity for a first query (step1502). The system can identify an increase in popularity for the firstquery, for example, as described above with reference to FIG. 1. Ingeneral, the system will identify a current increase in popularity for afirst query, or a recent increase in popularity for the first query. Forexample, the system can identify that the query had an increase inpopularity over the past few minutes, the past hour, or over the pastday.

The system identifies a second query as temporally related to the firstquery (step 1504). The system can identify the second query astemporally related to the first query using transition probabilitiesfrom the first query to a time and from the time to a second query, forexample, as described above with reference to FIG. 14.

The system modifies scoring data for one or more documents responsive tothe search query to favor newer documents responsive to the second query(step 1506). The newer documents can be, for example, documents thatwere recently modified or documents that were recently added to thecorpus of documents. The system can modify the scoring data to favornewer documents responsive to the second query, for example, bydiscounting scoring data for the second query that measures historicalrelevance of the documents in the search history data to the secondquery. Examples of scoring data that measure the historical relevance ofa document are discussed above with reference to FIG. 14. In someimplementations, the system permanently modifies the scoring data. Inalternative implementations, the system temporarily modifies the scoringdata, for example, by making a copy of the scoring data, modifying thecopy, and providing the modified copy to a document ranking process, orby providing the scoring data and a weight for the scoring data to theranking process, which then weights the data appropriately.

Once the second query has been identified, the system can use themodified scoring data in place of the old scoring data to score searchresults responsive to the query.

FIG. 16 illustrates an example architecture of a system 1600. The systemgenerally consists of a data processing apparatus 1602. While only onedata processing apparatus is shown in FIG. 16, multiple data processingapparatus can be used.

The data processing apparatus 1602 includes various modules, e.g.executable software programs, including a query popularity monitor 1604,a temporal relation identifier 1606, and a scoring data modifier 1608.Each module runs, for example, as part of an operating system on theserver, runs as one or more applications on the server, or runs as partof the operating system and part of one or more applications on theserver. The query popularity monitor 1604 identifies increases inpopularity for a query, for example, as described above with referenceto FIG. 15. The temporal relation identifier 1606 identifies queriesthat are temporally related, for example, as described above withreference to FIGS. 14 and 15. The scoring data modifier 1608 modifiesthe scoring data for a given query, for example, as described above withreference to FIG. 15. The modules can be combined or sub-divideddifferently than shown in FIG. 16.

The data processing apparatus 1602 can also have hardware or firmwaredevices including one or more processors 812, a communication interface818, and one or more user interface devices 820. These devices aredescribed above with reference to FIG. 8.

The data processing apparatus 1602 can store instructions that implementoperations associated with the modules described above, for example, ona computer readable medium 1612 or one or more additional devices 1610,for example, one or more of a floppy disk device, a hard disk device, anoptical disk device, or a tape device. In some implementations, the dataprocessing apparatus 1602 also stores one or more of transitionmatrices, search history data, scoring data, or other data on thecomputer readable medium 1612 or on one or more additional devices 1610.

FIG. 17 is a graph 1700 illustrating example transition probabilitiesbetween sessions and documents. The graph is a graphical representationof a transition matrix, such as the transition matrices described abovewith reference to FIG. 4. The transitions illustrated in FIG. 17 can beused by a system, for example, a search system, to identify relatedsessions from the documents viewed during the sessions. While theexamples below focus on multiplying individual transition probabilitiesidentified from the graph, the same effect can be achieved for all nodesin the graph by multiplying transition matrices storing datacorresponding to the relevant transitions.

The transition probabilities illustrated in the graph 1700 can be usedto calculate transition probabilities between two sessions. For example,the system can calculate the transition probability between session B1702 and session A 1704 by multiplying the transition probability fromsession B 1702 to document D 1706 by the transition probability fromdocument D 1706 to session A 1704 (i.e., 0.2 times 0.3, or 0.06). Whentwo sessions are connected through multiple documents, the system cancalculate the transition probability by calculating the transitionprobability between the sessions through each document, and then takingthe sum of the transition probabilities. For example, the system cancalculate the transition probability from session B 1702 to session C1708 through document B 1710 by multiplying the transition probabilityfrom session B 1702 to document B 1710 by the transition probabilityfrom document B 1710 to session C 1708, multiplying the transitionprobability from session B 1702 to document E 1712 by the transitionprobability from document E 1712 to session C 1708, and then taking thesum of the two products.

The system can then identify sessions that are related based on thetransition probabilities. For example, the system can determine that twosessions are related if the transition probability from one session tothe other exceeds a threshold. The threshold can be, for example, anabsolute number, or determined based on the transition probabilities forthe sessions being compared. The system can use the relationshipsbetween sessions, for example, to identify other spam sessions relatedto a given session that is known (or believed) to be spam.

FIG. 18 illustrates an example method 1800 for identifying a second spamsession from a first spam session. For convenience, the method 1800 willbe described with reference to a system that performs the steps of themethod. The system can be, for example, the search system 214 or anothersystem.

The system receives data identifying a first session of queries as spam(step 1802). In general a spam session is a session where the queriesentered by a user and the documents selected by the user may not reflectgenuine user preferences. In some implementations, the data identifyingthe first session of queries as spam is received, for example, from acomponent of the system (or a component external to the system) thatmodifies sessions of queries and identifies spam sessions based, forexample, on the queries issued and the documents selected during eachsession.

The system computes a spam score for a second session of queries (step1804). The spam score is based on transition probabilities from thefirst session to one or more documents and transition probabilities fromthe one or more documents to the second session. The spam score can be,for example, the session-to-session transition probability describedabove with reference to FIG. 17, or a value derived from thesession-to-session transition probability.

The system identifies the second session as spam from the spam score(step 1806). The system can identify the second session as spam if thespam score satisfies a threshold. The threshold can be determined, forexample, empirically.

In some implementations, when the system identifies the second sessionas spam, the system can use the second session to identify othersessions as spam, for example, by repeating the method 1800 using theidentified second session as the first session. In some implementations,when the system identifies the second session as spam, the system canfurther discount the weight given to scoring data from the secondsession, for example, by scaling the scoring data by a factor. Thefactor can be absolute (e.g., 0, 0.5, 0.8, etc.) or can be based on thespam score between the two sessions. For example, the factor can be 1minus the spam score.

FIG. 19 is a graph 1900 illustrating example transition probabilitiesbetween sessions and queries. The transitions illustrated in FIG. 19 canbe used by a system, for example, the search system 213 or anothersystem, to identify related sessions from the queries submitted duringthe sessions and to identify queries related to sessions. The transitionprobabilities can be calculated, for example, as described above withreference to FIGS. 1 and 2. While the examples below focus onmultiplying individual transition probabilities from the graph, the sameeffect can be achieved for all nodes in the graph by multiplyingtransition matrices with data corresponding to the relevant transitions.

The system can use the transitions shown in the graph 1900 to calculatequery-based session-to-session transition probabilities, much asdocument-based transition probabilities between sessions are calculatedusing transition probabilities between sessions and documents anddocuments and sessions as described above with reference to FIG. 17. Thetransition probabilities calculated based on queries submitted duringthe sessions can be used in place of the transition probabilitiescalculated based on documents viewed during the sessions when detectingspam sessions, for example, using the method described above withreference to FIG. 18.

The system can also use the transitions shown in the graph 1900 todetermine session-to-session transition probabilities. Thesession-to-query transition probabilities can be direct transitionprobabilities or can be calculated through a series of multiplicationsof session-to-query and query-to-session transition probabilities.Transition probabilities between a session and a query can also bedetermined using the transition probabilities illustrated in the graph1900. For example, the transition probability between session A 1902 andquery A 1904 is the weight of the edge between session A 1902 and queryA 1904. As another example, the system can calculate the transitionprobability between session A 1902 and query E 1906 by multiplying thetransition probability from session A 1902 to query A 1904 by thetransition probability from query A 1904 to session B 1908 and thetransition probability from session B 1908 to query E 1906.

The transition probabilities between sessions and queries can be used toidentify relationships between sessions and queries (i.e., when atransition probability between a session and a query satisfies athreshold), and can be used to identify potentially spam queries (e.g.,spam queries) from a session that has been identified as spam.

FIG. 20 illustrates an example method 2000 for identifying an spam queryfrom an spam session. For convenience, the method 2000 will be describedwith reference to a system that performs the steps of the method. Thesystem can be, for example, a search system or another system.

The system receives data identifying a first session of queries as spam(step 1802). The system can receive the data, for example, as describedabove with reference to FIG. 18.

The system computes a spam score for a query (step 2004). The spam scorecan be, for example, the transition probability from the session to thequery, or can be derived from the transition probability from thesession to the query. The transition probability from the session to thequery can be calculated, for example, as described above with referenceto FIG. 19.

The system identifies the query as spam (step 2006). The systemidentifies the query as spam based on the spam score. For example, thesystem can identify the query as spam when the spam score satisfies aspam threshold. The spam threshold can be empirically determined, forexample, based on an analysis of spam scores for queries known to bespam and queries known to be not spam. For example, the spam thresholdcan be selected so that it minimizes the error in the number of knownnon-spam queries identified as spam and the number of known spam queriesidentified as non-spam.

Once the system has identified the first query as spam, the system canuse the identification in various ways. For example, the system canmaintain an estimate of how many queries in a population of queries arespam, and can update that estimate based on the identification of thefirst query. The system can use the estimate of how many queries arespam, for example, to determine if the overall number of spam queries isincreasing, or if the spam queries are staying in a small cluster ofqueries.

As another example, the system can identify a second session as spambased on a spam score from the first query to the second session, forexample, by determining the spam score from the transition probabilitybetween the first query and the second session, and if the spam scoresatisfies a threshold, determining that the session is spam. Once thesecond session is identified as spam, the system can discount scoringdata derived from the second session, for example, as described abovewith reference to FIG. 18.

As yet another example, the system can update scoring data for the firstquery and one or more documents by replacing the quality of resultstatistics in the scoring data for the first query and each documentwith modified quality of result statistics for the first query and eachdocument. In some implementations, the modified quality of resultsstatistics is calculated by scaling the quality of result statistics forthe first query and each document by a factor derived from the spamscore. In general, the more spam the first query, the more the qualityof results statistics should be reduced. For example, if the spam scoreranges from 0 to 1 and is higher when the query is more closely relatedto a spam session, the factor can be a constant (e.g., 1) minus the spamscore. In alternative implementations, the factor is a constant and isnot derived from the spam score. In some implementations, the factor isdampened, for example, to reduce the effect it has on the quality ofresult statistics. Other methods for generating the modified quality ofresults statistic are also possible.

FIG. 21 illustrates an example illustrates an example architecture of asystem 2100. The system generally consists of a data processingapparatus 2102. While only one data processing apparatus is shown inFIG. 21, multiple data processing apparatus can be used.

The data processing apparatus 2102 includes various modules, e.g.executable software programs, including a spam score calculator 2104, aspam determiner 2106, and can optionally include a population estimator2108 and a scoring data modifier 2110. Each module, for example, runs aspart of an operating system on the server, runs as one or moreapplications on the server, or runs as part of the operating system andpart of one or more applications on the server. The spam scorecalculator 2104 calculates a spam score for a session or a query from asession that is known to be spam, for example, as described above withreference to FIGS. 18 and 20. The spam determiner 2106 determineswhether a session or a query is spam based on a spam score, for example,as described above with reference to FIGS. 18 and 20. The optionalpopulation estimator 2108 estimates the number of spam queries in apopulation of queries, for example, as described above with reference toFIG. 20. The optional scoring data modifier 2110 modifies scoring dataonce a session or a query is determined to be spam, for example, asdescribed above with reference to FIGS. 18 and 20. The modules can becombined or sub-divided differently than shown in FIG. 21.

The data processing apparatus 2102 can also have hardware or firmwaredevices including one or more processors 812, a communication interface818, and one or more user interface devices 820. These devices aredescribed above with reference to FIG. 8.

The data processing apparatus 2102 can store instructions that implementoperations associated with the modules described above, for example, ona computer readable medium 2114 or one or more additional devices 2112.In some implementations, the data processing apparatus 2102 also storesone or more of transition matrices, search history data, scoring data,or other data on the computer readable medium 2114 or on one or moreadditional devices 2112.

Embodiments of the subject matter and the operations described in thisspecification can be implemented in digital electronic circuitry, or incomputer software, firmware, or hardware, including the structuresdisclosed in this specification and their structural equivalents, or incombinations of one or more of them. Embodiments of the subject matterdescribed in this specification can be implemented as one or morecomputer programs, i.e., one or more modules of computer programinstructions, encoded on a computer storage medium for execution by, orto control the operation of, data processing apparatus. A computerstorage medium can be, or be included in, a computer-readable storagedevice, a computer-readable storage substrate, a random or serial accessmemory array or device, or a combination of one or more of them.Moreover, while a computer storage medium is not a propagated signal, acomputer storage medium can be a source or destination of computerprogram instructions encoded in an artificially-generated propagatedsignal. The computer storage medium can also be, or be included in, oneor more separate physical components or media (e.g., multiple CDs,disks, or other storage devices).

The operations described in this specification can be implemented asoperations performed by a data processing apparatus on data stored onone or more computer-readable storage devices or received from othersources.

The term “data processing apparatus” encompasses all kinds of apparatus,devices, and machines for processing data, including by way of example aprogrammable processor, a computer, a system on a chip, or multipleones, or combinations, of the foregoing The apparatus can includespecial purpose logic circuitry, e.g., an FPGA (field programmable gatearray) or an ASIC (application-specific integrated circuit). Theapparatus can also include, in addition to hardware, code that createsan execution environment for the computer program in question, e.g.,code that constitutes processor firmware, a protocol stack, a databasemanagement system, an operating system, a cross-platform runtimeenvironment, a virtual machine, or a combination of one or more of them.The apparatus and execution environment can realize various differentcomputing model infrastructures, such as web services, distributedcomputing and grid computing infrastructures.

A computer program (also known as a program, software, softwareapplication, script, or code) can be written in any form of programminglanguage, including compiled or interpreted languages, declarative orprocedural languages, and it can be deployed in any form, including as astand-alone program or as a module, component, subroutine, object, orother unit suitable for use in a computing environment. A computerprogram may, but need not, correspond to a file in a file system. Aprogram can be stored in a portion of a file that holds other programsor data (e.g., one or more scripts stored in a markup languagedocument), in a single file dedicated to the program in question, or inmultiple coordinated files (e.g., files that store one or more modules,sub-programs, or portions of code). A computer program can be deployedto be executed on one computer or on multiple computers that are locatedat one site or distributed across multiple sites and interconnected by acommunication network.

The processes and logic flows described in this specification can beperformed by one or more programmable processors executing one or morecomputer programs to perform actions by operating on input data andgenerating output. The processes and logic flows can also be performedby, and apparatus can also be implemented as, special purpose logiccircuitry, e.g., an FPGA (field programmable gate array) or an ASIC(application-specific integrated circuit).

Processors suitable for the execution of a computer program include, byway of example, both general and special purpose microprocessors, andany one or more processors of any kind of digital computer. Generally, aprocessor will receive instructions and data from a read-only memory ora random access memory or both. The essential elements of a computer area processor for performing actions in accordance with instructions andone or more memory devices for storing instructions and data. Generally,a computer will also include, or be operatively coupled to receive datafrom or transfer data to, or both, one or more mass storage devices forstoring data, e.g., magnetic, magneto-optical disks, or optical disks.However, a computer need not have such devices. Moreover, a computer canbe embedded in another device, e.g., a mobile telephone, a personaldigital assistant (PDA), a mobile audio or video player, a game console,a Global Positioning System (GPS) receiver, or a portable storage device(e.g., a universal serial bus (USB) flash drive), to name just a few.Devices suitable for storing computer program instructions and datainclude all forms of non-volatile memory, media and memory devices,including by way of example semiconductor memory devices, e.g., EPROM,EEPROM, and flash memory devices; magnetic disks, e.g., internal harddisks or removable disks; magneto-optical disks; and CD-ROM and DVD-ROMdisks. The processor and the memory can be supplemented by, orincorporated in, special purpose logic circuitry.

To provide for interaction with a user, embodiments of the subjectmatter described in this specification can be implemented on a computerhaving a display device, e.g., a CRT (cathode ray tube) or LCD (liquidcrystal display) monitor, for displaying information to the user and akeyboard and a pointing device, e.g., a mouse or a trackball, by whichthe user can provide input to the computer. Other kinds of devices canbe used to provide for interaction with a user as well; for example,feedback provided to the user can be any form of sensory feedback, e.g.,visual feedback, auditory feedback, or tactile feedback; and input fromthe user can be received in any form, including acoustic, speech, ortactile input. In addition, a computer can interact with a user bysending documents to and receiving documents from a device that is usedby the user; for example, by sending web pages to a web browser on auser's client device in response to requests received from the webbrowser.

Embodiments of the subject matter described in this specification can beimplemented in a computing system that includes a back-end component,e.g., as a data server, or that includes a middleware component, e.g.,an application server, or that includes a front-end component, e.g., aclient computer having a graphical user interface or a Web browserthrough which a user can interact with an implementation of the subjectmatter described in this specification, or any combination of one ormore such back-end, middleware, or front-end components. The componentsof the system can be interconnected by any form or medium of digitaldata communication, e.g., a communication network. Examples ofcommunication networks include a local area network (“LAN”) and a widearea network (“WAN”), an inter-network (e.g., the Internet), andpeer-to-peer networks (e.g., ad hoc peer-to-peer networks).

The computing system can include clients and servers. A client andserver are generally remote from each other and typically interactthrough a communication network. The relationship of client and serverarises by virtue of computer programs running on the respectivecomputers and having a client-server relationship to each other. In someembodiments, a server transmits data (e.g., an HTML page) to a clientdevice (e.g., for purposes of displaying data to and receiving userinput from a user interacting with the client device). Data generated atthe client device (e.g., a result of the user interaction) can bereceived from the client device at the server.

While this specification contains many specific implementation details,these should not be construed as limitations on the scope of theinvention or of what may be claimed, but rather as descriptions offeatures specific to particular embodiments of the invention. Certainfeatures that are described in this specification in the context ofseparate embodiments can also be implemented in combination in a singleembodiment. Conversely, various features that are described in thecontext of a single embodiment can also be implemented in multipleembodiments separately or in any suitable subcombination. Moreover,although features may be described above as acting in certaincombinations and even initially claimed as such, one or more featuresfrom a claimed combination can in some cases be excised from thecombination, and the claimed combination may be directed to asubcombination or variation of a subcombination.

Similarly, while operations are depicted in the drawings in a particularorder, this should not be understood as requiring that such operationsbe performed in the particular order shown or in sequential order, orthat all illustrated operations be performed, to achieve desirableresults. In certain circumstances, multitasking and parallel processingmay be advantageous. Moreover, the separation of various systemcomponents in the embodiments described above should not be understoodas requiring such separation in all embodiments, and it should beunderstood that the described program components and systems cangenerally be integrated together in a single software product orpackaged into multiple software products.

Thus, particular embodiments of the invention have been described. Otherembodiments are within the scope of the following claims. In some cases,the actions recited in the claims can be performed in a different orderand still achieve desirable results. In addition, the processes depictedin the accompanying figures do not necessarily require the particularorder shown, or sequential order, to achieve desirable results. Incertain implementations, multitasking and parallel processing may beadvantageous.

What is claimed is:
 1. A method, comprising: obtaining search historydata, the search history data including a first query; determiningwhether a different second query is temporally related to the firstquery based on calculated time-based query-to-query transitionprobabilities including a query-to-time transition probability betweenthe first query and a time of year and a time-to-query transitionprobability between the time of year and the second query, where thequery-to-time transition probability between the first query and thetime of year estimates a strength of a relationship between the firstquery and the time of year, wherein determining the query-to-timetransition probability comprises: determining whether the first queryhas a significant increase in popularity at the time of year; and if thefirst query does have a significant increase in popularity at the timeof year, determining the query-to-time transition probability as afunction of the number of times the query had a significant increase inpopularity at the time of year; and modifying, using one or morecomputers, scoring data for one or more documents responsive to thesecond query to favor newer documents responsive to the second querybased on the calculated time-based query-to-query transitionprobabilities.
 2. The method of claim 1, wherein the time-to-querytransition probability between the time of year and the second queryestimates a strength of a relationship between the time of year and thesecond query based on whether the second query had an increase inpopularity at the time of year and how many other queries had anincrease in popularity at the time of year.
 3. The method of claim 1,wherein modifying the scoring data to favor newer documents comprisesdiscounting an anchor score in the scoring data.
 4. The method of claim3, where the anchor score is for a first document and measures anchorsto the first document.
 5. The method of claim 1, wherein modifying thescoring data to favor newer documents comprises discounting a historicalquality of result score in the scoring data, where the historicalquality of result score is for the query and a document.
 6. The methodof claim 1, wherein whether the first query had an increase inpopularity is based on whether a change in popularity of the first queryfrom one time period to a next time period is more than a threshold. 7.The method of claim 1, wherein the query-to-time transition probabilitybetween the first query and the time of year is determined according to:${P_{tran}\left( {q_{A},t_{B}} \right)} = \frac{{peak}\left( {q_{A},t_{B}} \right)}{\sum\limits_{t_{i} \in S_{t}}{{peak}\left( {q_{A},t_{i}} \right)}}$wherein P_(tran)(q_(A), t_(B)) is the transition probability between thefirst query and the time of year, peak(q, t) has a value of 1 if thefirst query had an increase in popularity at the time of year andotherwise is 0, and S_(t) is a set of times in a search history data. 8.The method of claim 1, wherein the time-to-query transition probabilitybetween the time of year and the second query is determined accordingto:${P_{tran}\left( {t_{B},q_{B}} \right)} = \frac{{peak}\left( {q_{B},t_{B}} \right)}{\sum\limits_{q_{i} \in S_{q}}{{peak}\left( {q_{i},t_{B}} \right)}}$wherein P_(tran)(t_(B), q_(B)) is the transition probability between thetime of year and the second query, peak(q, t) has a value of 1 if thesecond query had an increase in popularity at the time of year andotherwise is 0, and S_(q) is a set of queries in a search history data.9. A system, comprising: one or more computers programmed to performoperations comprising: obtaining search history data, the search historydata including a first query; determining whether a different secondquery is temporally related to the first query based on calculatedtime-based query-to-query transition probabilities including aquery-to-time transition probability between the first query and a timeof year and a time-to-query transition probability between the time ofyear and the second query, where the query-to-time transitionprobability between the first query and the time of year estimates astrength of a relationship between the first query and the time of year,wherein determining the query-to-time transition probability comprises:determining whether the first query has a significant increase inpopularity at the time of year; and if the first query does have asignificant increase in popularity at the time of year, determining thequery-to-time transition probability as a function of the number oftimes the query had a significant increase in popularity at the time ofyear; and modifying scoring data for one or more documents responsive tothe second query to favor newer documents responsive to the second querybased on the calculated time-based query-to-query transitionprobabilities.
 10. The system of claim 9, wherein the time-to-querytransition probability between the time of year and the second queryestimates a strength of a relationship between the time of year and thesecond query based on whether the second query had an increase inpopularity at the time of year and how many other queries had anincrease in popularity at the time of year.
 11. The system of claim 9,wherein modifying the scoring data to favor newer documents comprisesdiscounting an anchor score in the scoring data.
 12. The system of claim11, where the anchor score is for the first document and measuresanchors to the first document.
 13. The system of claim 9, whereinmodifying the scoring data to favor newer documents comprisesdiscounting a historical quality of result score in the scoring data,where the historical quality of result score is for the query and adocument.
 14. The system of claim 9, wherein whether the first query hadan increase in popularity is based on whether a change in popularity ofthe first query from one time period to a next time period is more thana threshold.
 15. The system of claim 9, wherein the query-to-timetransition probability between the first query and the time of year isdetermined according to:${P_{tran}\left( {q_{A},t_{B}} \right)} = \frac{{peak}\left( {q_{A},t_{B}} \right)}{\sum\limits_{t_{i} \in S_{t}}{{peak}\left( {q_{A},t_{i}} \right)}}$wherein P_(tran)(q_(A), t_(B)) is the transition probability between thefirst query and the time of year, peak(q, t) has a value of 1 if thefirst query had an increase in popularity at the time of year andotherwise is 0, and S_(t) is a set of times in a search history data.16. The system of claim 9, wherein the time-to-query transitionprobability between the time of year and the second query is determinedaccording to:${P_{tran}\left( {t_{B},q_{B}} \right)} = \frac{{peak}\left( {q_{B},t_{B}} \right)}{\sum\limits_{q_{i} \in S_{q}}{{peak}\left( {q_{i},t_{B}} \right)}}$wherein P_(tran)(t_(B), q_(B)) is the transition probability between thetime of year and the second query, peak(q, t) has a value of 1 if thesecond query had an increase in popularity at the time of year andotherwise is 0, and S_(q) is a set of queries in a search history data.